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It is known that orbital angular momentum (OAM) couples the Goos-Hanchen and Imbert-Fedorov shifts. Here, we present the first study of these shifts when the OAM-endowed LG(l,p) beams have higher-order radial mode index (p>0). We show theoretically and experimentally that the angular shifts are enhanced by p while the positional shifts are not. Since LG(l,p) modes form a complete basis set for paraxial beams, our results can be used to predict beam shifts of arbitrary modes of light.

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